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Finding the Fourth Proportional to 1,047.42, 1,569.90 and 469.89

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Solution

The fourth proportional to 1,047.42, 1,569.90 and 469.89 is: 704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.42 : 1,569.90 = 469.89 : x
  2. Step 2: Convert to fraction form
    1,047.42/1,569.90 = 469.89/x
  3. Step 3: Cross multiply
    1,047.42x = 1,569.90 × 469.89
  4. Step 4: Simplify right side
    1,047.42x = 737,680.31
  5. Step 5: Solve for x
    x = 737,680.31/1,047.42
  6. Step 6: Final answer
    x = 704.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.